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A survey of nonlinear dynamics : "chaos theory" / R. L. Ingraham
Singapore : World Scientific, 1992
107 pages. : illustrations ; 22 cm.
Ký hiệu phân loại (DDC): 531.113
This is a concise introduction to nonlinear dynamics (or "chaos theory"). Among the topics covered are pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. Various levels and meanings of chaos are summarized.
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Computation of mathematical models for complex industrial processes / Yu-Chu Tian, Tonghua Zhang, Hongmei Yao, Moses O. Tade
Hackensack, NJ : World Scientific Publishing Co. Inc., 2014
xiv, 148 pages. ; 24 cm.
Ký hiệu phân loại (DDC): 660.281
Designed for undergraduate and postgraduate students, academic researchers and industrial practitioners, this book provides comprehensive case studies on numerical computing of industrial processes and step-by-step procedures for conducting industrial computing. It assumes minimal knowledge in numerical computing and computer programming, making it easy to read, understand and follow. Topics discussed include fundamentals of industrial computing, finite difference methods, the Wavelet-Collocation Method, the Wavelet-Galerkin Method, High Resolution Methods, and comparative studies of various methods. These are discussed using examples of carefully selected models from real processes of industrial significance. The step-by-step procedures in all these case studies can be easily applied to other industrial processes without a need for major changes. Thus, they provide readers with useful frameworks for the applications of engineering computing in fundamental research problems and practical development scenarios
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3
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Hypernetworks in the science of complex systems / J. Johnson
London : Imperial College Press, 2013
xviii, 330 pages. : illustrations ; 25 cm.
Ký hiệu phân loại (DDC): 005.1
The modern world is complex beyond human understanding and control. The science of complex systems aims to find new ways of thinking about the many interconnected networks of interaction that defy traditional approaches. Thus far, research into networks has largely been restricted to pairwise relationships represented by links between two nodes. This volume marks a major extension of networks to multidimensional hypernetworks for modeling multi-element relationships, such as companies making up the stock market, the neighborhoods forming a city, people making up committees, divisions making up companies, computers making up the internet, men and machines making up armies, or robots working as teams. This volume makes an important contribution to the science of complex systems by: (i) extending network theory to include dynamic relationships between many elements; (ii) providing a mathematical theory able to integrate multilevel dynamics in a coherent way; (iii) providing a new methodological approach to analyze complex systems; and (iv) illustrating the theory with practical examples in the design, management and control of complex systems taken from many areas of application
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Mathematical problems of control theory : an introduction / G. A. Leonov
Singapore : World Scientific, 2001
viii, 172 pages. : illustrations ; 23 cm.
Ký hiệu phân loại (DDC): 519.8
This work shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book, a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given
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